Question

A car moves along a curved road of diameter 2 km. If the maximum velocity for safe driving on this path is 30 m/s, at what angle has the road been banked? (Ignore friction. )

A)11°

B)22. 6°

C)45. 2°

D)5. 26°

Answer 1

b

Step-by-step explanation:

θ = tan^-1(v^2/rg)

where θ is the angle of banking, v is the maximum velocity for safe driving, r is the radius of the curve (half the diameter), and g is the acceleration due to gravity.

Plugging in the values, we get:

θ = tan^-1((30 m/s)^2 / (1000 m * 9.8 m/s^2))

θ ≈ 22.6°

Therefore, the answer is (B) 22.6°.